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Finding the Fourth Proportional to 147.09, 219.51 and 143.62

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Solution

The fourth proportional to 147.09, 219.51 and 143.62 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.09 : 219.51 = 143.62 : x
  2. Step 2: Convert to fraction form
    147.09/219.51 = 143.62/x
  3. Step 3: Cross multiply
    147.09x = 219.51 × 143.62
  4. Step 4: Simplify right side
    147.09x = 31,526.71
  5. Step 5: Solve for x
    x = 31,526.71/147.09
  6. Step 6: Final answer
    x = 214.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.